LCM Calculator
Result
LCM:
GCD:
Steps:
LCM Calculator 📈
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What Is LCM?
- The Least Common Multiple (LCM), also known as the Lowest Common Multiple (LCM) or Least Common Divisor (LCD), is a fundamental concept in mathematics.
- For any two integers a and b, denoted as LCM(a, b), the LCM is the smallest positive integer that both a and b divide evenly into.
- For example:
- LCM(2, 3) = 6 (since 6 is the smallest number divisible by both 2 and 3).
- LCM(6, 10) = 30.
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How to Use the LCM Calculator:
- Input the numbers you want to find the LCM for. You can separate them using commas or spaces (e.g., 12, 15, 20 or 12 15 20).
- Click the "Calculate LCM" button. The LCM will be displayed along with a step-by-step breakdown of the calculation process.
- Click the "Reset" button to clear the input and start over.
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Manual LCM Calculation Method:
- Step 1: List the prime factors of each number.
- Step 2: Identify the highest power of each prime number from the factors.
- Step 3: Multiply the highest powers of each prime number together to get the LCM.
- Example:
- For 12 and 15:
- Prime factors of 12: 2^2 * 3
- Prime factors of 15: 3 * 5
- LCM: 2^2 * 3 * 5 = 60
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Benefits of Using an LCM Calculator:
- Saves time and effort by automating complex calculations.
- Reduces the risk of manual calculation errors.
- Provides step-by-step solutions for better understanding.